Quiz Families of Functions

Describe the transformation of y = f(x) for the new function
 y = f(x) + 5

• The graph of y = f(x) was shifted to the right 5 units. 
• The graph of y = f(x) was shifted to the left 5 units. 
• The graph of y = f(x) was shifted up 5 units. 
• The graph of y = f(x) was shifted down 5 units.

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = 1/5f(x)

• The graph of y = f(x) compressed horizontally by a factor of 1/5
• The graph of y = f(x) was stretched horizontally by a factor of 5
• The graph of y = f(x) was compressed vertically by a factor of 1/5
• The graph of y = f(x) was stretched vertically by a factor of 5

Tags

CCSS.HSF.BF.B.3

Describe the transformation of y = f(x) for the new function
 y = - f(x)

• The graph of y = f(x) was flipped vertically across the x axis. 
• The graph of y = f(x) was flipped horizontally across the y axis.
• The graph of y = f(x) was shifted down.
• The graph of y = f(x) was shifted up

Tags

CCSS.HSF.BF.B.3

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a translation shifting f(x) 4 units up
• a translation shifting f(x) 4 units down
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

What family?

• Absolute Value
• Cubic
• Quadratic
• Exponential

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.CED.A.1

• Exponential
• Linear
• Cubic
• Absolute Value

Tags

CCSS.HSF-IF.C.7D

Name the parent function. 

• constant
• quadratic
• linear
• exponential

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.LE.A.1

What is the name of the parent function and equation for the graph?

• Quadratic - y = x²
• Absolute Value - y = |x|
• Square Root - y = √x
• Cube Root - y = ∛x

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.A.1

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

  Determine the equation for the red graph.

• g(x)=(x=3)²
• g(x)=x²-3
• g(x)=x²+3
• g(x)=3x²

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.2

CCSS.HSA.SSE.A.1

What is the equation of the graph?

• y = (x + 3)²
• y = |x + 3|
• y = (x - 3)²
• y = |x - 3|

Tags

CCSS.HSF-IF.C.7D